Pith Number

pith:3I7GNCES

pith:2010:3I7GNCESR4OUJX4U5Z2HZ3F6WY

not attested not anchored not stored refs pending

Average best $m$-term approximation

Jan Vyb\'iral

arxiv:1009.1751 v3 · 2010-09-09 · math.FA · math.NA · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3I7GNCESR4OUJX4U5Z2HZ3F6WY}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:05:27.775497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da3e6688928f1d44df94ee747cecbeb6036c290091d391c5832d2a5b68075b59

Aliases

arxiv: 1009.1751 · arxiv_version: 1009.1751v3 · doi: 10.48550/arxiv.1009.1751 · pith_short_12: 3I7GNCESR4OU · pith_short_16: 3I7GNCESR4OUJX4U · pith_short_8: 3I7GNCES

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/3I7GNCESR4OUJX4U5Z2HZ3F6WY \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: da3e6688928f1d44df94ee747cecbeb6036c290091d391c5832d2a5b68075b59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "634b9e233a81c63578d30f207e3035686a09de4eaf670ef8613cf937d1361a67",
    "cross_cats_sorted": [
      "math.NA",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-09-09T12:29:07Z",
    "title_canon_sha256": "fcba41fb3e8700338dd9e97d0ca364c4513d7aec4c50badee0d6197e95de51bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1751",
    "kind": "arxiv",
    "version": 3
  }
}